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Simplifying 5(3x + 5) = 6(5x + -3) Reorder the terms: 5(5 + 3x) = 6(5x + -3) (5 * 5 + 3x * 5) = 6(5x + -3) (25 + 15x) = 6(5x + -3) Reorder the terms: 25 + 15x = 6(-3 + 5x) 25 + 15x = (-3 * 6 + 5x * 6) 25 + 15x = (-18 + 30x) Solving 25 + 15x = -18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 25 + 15x + -30x = -18 + 30x + -30x Combine like terms: 15x + -30x = -15x 25 + -15x = -18 + 30x + -30x Combine like terms: 30x + -30x = 0 25 + -15x = -18 + 0 25 + -15x = -18 Add '-25' to each side of the equation. 25 + -25 + -15x = -18 + -25 Combine like terms: 25 + -25 = 0 0 + -15x = -18 + -25 -15x = -18 + -25 Combine like terms: -18 + -25 = -43 -15x = -43 Divide each side by '-15'. x = 2.866666667 Simplifying x = 2.866666667
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